Can you identify these equations?

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Discussion Overview

The discussion revolves around the identification of two equations that participants believe may be related to physics, particularly involving concepts like Planck's constant and the speed of light. The context of the equations and their specific applications or theoretical backgrounds are not fully established.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the equations are likely from physics due to the presence of Planck's constant and the speed of light.
  • Another participant identifies one of the equations as the Dirac equation of a charged particle in a vector potential and scalar potential, expressing hope for corrections or additional input from others.
  • A participant seeks clarification on whether both equations are involved and mentions a lack of understanding regarding the connection to gamma, referencing Wikipedia.
  • A later reply agrees with the identification of the top equation and proposes that the bottom equation may represent the definition of the time-reversal operator, noting the role of the complex conjugation operator.

Areas of Agreement / Disagreement

Participants express differing views on the equations' identities, with some agreeing on the identification of the Dirac equation while others propose alternative interpretations for the second equation. The discussion remains unresolved regarding the full context and implications of both equations.

Contextual Notes

Participants have not fully clarified the assumptions or definitions underlying their interpretations of the equations, and there are indications of varying levels of understanding among them.

Luxor123
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I have come across these equations elsewhere, but the context didn't give anything away about what they actually are. I assume they're both from a similar area, but that may not be necessarily true.

I guess they're physics equations because of the presence of Planck's constant and c (speed of light?)

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That's Dirac equation of a charged particle in a vector potential ##A## and scalar potential ##eA_0(x)##. I hope there are other members correcting me in case I am wrong or add something.
 
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Thanks, is that just the top one, and is the bottom one involved as well? I had a look at Wikipedia and it seemed to involve gamma in some way, but it is well beyond my level of understanding.
 
Luxor123 said:
Thanks, is that just the top one, and is the bottom one involved as well? I had a look at Wikipedia and it seemed to involve gamma in some way, but it is well beyond my level of understanding.
About the top equation, I agree with blue_leaf77. The bottom one seems to be the definition of time-reversal operator to me where ## \hat K ## is the complex conjugation operator.
 

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